Identities in the spirit of Eule

• A. Sofo ^[1]
  1. [1] Victoria University

     Victoria University

     Australia

     
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 35, Nº 1, 2020, págs. 21-34
• Idioma: inglés
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• Resumen

  • In this paper we develop new identities in the spirit of Euler. We shall investigate and report on new Euler identities of weight p+ 2, for p an odd integer, but with a non unitary argument of the harmonic numbers. Some examples of these Euler identities will be given in terms of Riemann zeta values, Dirichlet values and other special functions